A264072 Number of (3+1) X (n+1) arrays of permutations of 0..n*4+3 with each element having index change +-(.,.) 0,0 0,1 or 1,2.

8, 89, 1210, 12100, 131890, 1445345, 15892745, 174807490, 1922750500, 21148816810, 232621218005, 2558660023205, 28143353265610, 309555910473700, 3404884300976290, 37451189626157945, 411935173248700145

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 12*a(n-1) - 12*a(n-2) + 12*a(n-3) - 12*a(n-4) + a(n-5) for n>7.

Empirical g.f.: x*(8 - 7*x + 238*x^2 - 1448*x^3 + 238*x^4 - 5595*x^5 + 516*x^6) / ((1 - x)*(1 - 11*x + x^2 - 11*x^3 + x^4)). - Colin Barker, Jan 04 2019

Example

Some solutions for n=4:
..7..1..2..9..4....0..7..9..3..4....0..1..2..3..4....6..1..2..3..4
..5.12..0..8..3....5..6.14..1..2...11.13..7.14..9...12.13..0..8..9
.17.18.19..6.14...17.11.18.13..8...16..5.18..6..8...10.17..5..7.14
.15.16.10.11.13...15.16.10.12.19...15.10.17.12.19...15.16.11.18.19

Crossrefs

Row 3 of A264071.

Sequence in context: A184756 A295244 A379546 * A303056 A131655 A105718

Adjacent sequences: A264069 A264070 A264071 * A264073 A264074 A264075

Keyword

nonn

Author

R. H. Hardin, Nov 02 2015

Status

approved